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A triëteris is the Greek name for the period within 3 tropical years where the Moon phase occurs around 3 days earlier. It corresponds to 37 synodic months, 39.9914087638034 sidereal months, 40.152246109637005 draconic months, 39.653405866893394 anomalistic months, and 1,092.6317546296311 days. It intercalates 3 lunar years (which’s 38.910559878295196 sidereal months, 39.067050268836 draconic months, 38.5816921948152 anomalistic months, and 1,063.101166666668 days). Though if you intercalate a triëteris, you get a long triëteris, which’s 38 synodic months, 41.072257649311595 sidereal months, 41.237441950438004 draconic months, 40.7251195389716 anomalistic months, and 1,122.162342592594 days, and is nearly 3 synodic periods of Saturn, making it useful for calculations new/full moons in opposition/conjunction with Saturn. The triëteris is also useful for Greek festivities on a regular basis.
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